Use R to help solve these questions as well.

Context: HOTELLING (Questions 4 & 5) The following questions relate to Table 5.1 JW page 215 on Sweat Data &, and Example 5.1 sweat Sweat x1 x2 x3 1 3.7 48.5 9.3 2 5.7 65.1 8.0 3 3.8 47.2 10.9 4 3.2 53.2 12.0 5 3.1 55.5 9.7 6 4.6 36.1 7.9 7 2.4 24.8 14.0 8 7.2 33.1 7.6 9 6.7 47.4 8.5 10 5.4 54.1 11.3 11 3.9 36.9 12.7 12 4.5 58.8 12.3 13 3.5 27.8 9.8 14 4.5 40.2 8.4 15 1.5 13.5 10.1 16 8.5 56.4 7.1 17 4.5 71.6 8.2 18 6.5 52.8 10.9 19 4.1 44.1 11.2 20 5.5 40.9 9.4 Ho : H = 50 10 H1 : H # 50 10Question 4 HOTELLING Using the sweat data, remove the last row and then calculate Hotelling's T squared value on the reduced data frame, submit the answer to 4 decimal places Question 5 HOTELLING Using the same data frame you made above with the last row removed (n = 19), calculate the critical value (alpha = 0.10) and submit below to 4 decimal places